What formula can be used calculate the distance traveled by a robot

[november1992]

Homework Statement

What formula or formulas are used to calculate the distance traveled by the robot given the radius of its wheel/tire (R) and the degrees through which the motors rotated (d)? Use n to represent the number of rotations made by the motors. Show all steps and formula(s) required.

Homework Equations

s= distance traveled
C=2pi

The Attempt at a Solution

I used the equation to figure out that circumference multiplied by the number of rotations is equal to the distance traveled but I don't know where degrees fits into the formula.
s=C x ρ∶where ρ is the number of rotations

 

[Mark44]

Homework Statement

What formula or formulas are used to calculate the distance traveled by the robot given the radius of its wheel/tire (R) and the degrees through which the motors rotated (d)? Use n to represent the number of rotations made by the motors. Show all steps and formula(s) required.

Homework Equations

s= distance traveled
C=2pi

The Attempt at a Solution

I used the equation to figure out that circumference multiplied by the number of rotations is equal to the distance traveled but I don't know where degrees fits into the formula.
s=C x ρ∶where ρ is the number of rotations

Is the motor attached directly to the wheel? If so, then one motor revolution means one wheel revolution. OTOH, if the motor drives the wheel through a gearbox, then you have to take the gearing into consideration.

Assuming direct drive...

2$\pi$ radians = 360 deg., so 1 deg = $\pi$/180 radians